1 0 0 5.000000+3 1.071710+1 -1 0 0 1 500 1451 1 0.000000+0 0.000000+0 0 0 0 6 500 1451 2 0.000000+0 1.000000+8 8 0 3 7 500 1451 3 0.000000+0 0.000000+0 0 0 136 16 500 1451 4 5-B - 0 LLNL EVAL-Jul97 D.E.Cullen, et al. 500 1451 5 UCRL50400,Vol.6,Rev.5 DIST-DEC06 20010927 500 1451 6 ----ENDF/B-VII MATERIAL 500 500 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 500 1451 8 ------ENDF-6 FORMAT 500 1451 9 ================================================================= 500 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 500 1451 11 ENDF/B-VI format 500 1451 12 ================================================================= 500 1451 13 Contents 500 1451 14 ================================================================= 500 1451 15 MF/MT Description 500 1451 16 ================================================================= 500 1451 17 23/501 Total cross sections 500 1451 18 23/502 Coherent scattering cross sections 500 1451 19 23/504 Incoherent scattering cross sections 500 1451 20 23/515 Pair production cross sections, Electron field 500 1451 21 23/516 Pair production cross sections, Total 500 1451 22 23/517 Pair production cross sections, Nuclear field 500 1451 23 23/522 Total photoionization cross section 500 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 500 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 500 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 500 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 500 1451 28 ================================================================= 500 1451 29 27/502 Coherent scattering form factors 500 1451 30 27/504 Incoherent scattering functions 500 1451 31 27/505 Imaginary anomalous scattering factor 500 1451 32 27/506 Real anomalous scattering factor 500 1451 33 ================================================================= 500 1451 34 Warning 500 1451 35 ================================================================= 500 1451 36 MF/MT combinations used to define photoionization subshell cross 500 1451 37 sections (MF=23, MT=534-572) and coherent anomalous scattering 500 1451 38 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 500 1451 39 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 500 1451 40 If you are not prepared to use this data you need merely delete 500 1451 41 it and all of the remaining data will still be consistent and 500 1451 42 equivalent to the types of data in earlier versions of ENDF/B. 500 1451 43 However, this will limit the range of problems to which this 500 1451 44 data can be applied (see: ref. 1 for details). 500 1451 45 ================================================================= 500 1451 46 Definition of new types of data 500 1451 47 ================================================================= 500 1451 48 1) The total photoionization cross section is equal to the sum 500 1451 49 of the photoionization subshell cross sections. 500 1451 50 500 1451 51 For each subshell on the second line of a section the C1 and 500 1451 52 C2 fields are defined as, 500 1451 53 500 1451 54 EPE = The photoionization edge energy (similar to Q-value) 500 1451 55 EFL = The fluorescence yield (eV/photoionization) 500 1451 56 500 1451 57 2) The angular distribution of coherently scattered photons is, 500 1451 58 500 1451 59 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 500 1451 60 500 1451 61 S(E,MU) = Angular distributions (barns per unit cosine) 500 1451 62 T = The Thomson cross section 500 1451 63 MU = The cosine of the scattering angle 500 1451 64 FF(M) = The atomic form factor 500 1451 65 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 500 1451 66 F1(E) = The real anomalous scattering factor 500 1451 67 F2(E) = The imaginary anomalous scattering factor 500 1451 68 500 1451 69 F1(E) and F2(E) are isotropic. 500 1451 70 500 1451 71 When F1(E) = F2(E) = 0 this reduces to the result obtained 500 1451 72 using only form factors (the older ENDF/B convention). 500 1451 73 ================================================================= 500 1451 74 Differences between EPDL97 and the data base presented here 500 1451 75 ================================================================= 500 1451 76 1) Energy range - EPDL97 - 1 eV to 100 GeV 500 1451 77 Here - 1 eV TO 100 GeV (previously 100 MeV) 500 1451 78 2) Type of Data - EPDL97 - Photon interaction including 500 1451 79 photoexcitation 500 1451 80 Here - Photon interaction - ENDF/B-VI has 500 1451 81 no provision for photoexcitation 500 1451 82 3) Secondary E - EPDL97 - Average energy of each secondary 500 1451 83 (photons, electrons, positrons) 500 1451 84 HERE - No secondary energy data 500 1451 85 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 500 1451 86 interpolable - the total cross 500 1451 87 section is not included 500 1451 88 - Form factors and scattering functions 500 1451 89 are Log X vs. Log y, except first 500 1451 90 interval. 500 1451 91 - Anomalous scattering factors linearly 500 1451 92 interpolable (they can be negative) 500 1451 93 Here - Up through ENDF/B-V photon interaction 500 1451 94 cross sections were Log X vs. Log Y. 500 1451 95 - For the first two Mods. of ENDF/B-VI 500 1451 96 in order to consistently define the 500 1451 97 total cross sections at ALL energies 500 1451 98 all cross sections were linearized. 500 1451 99 This was NOT a good idea. 500 1451 100 - Starting with Mod. 3, cross sections 500 1451 101 are left in Log X vs. Log. Y form so 500 1451 102 that they are IDENTICAL to what's in 500 1451 103 EPDL97. 500 1451 104 The total is defined ONLY at the 500 1451 105 energies tabulated in any other cross 500 1451 106 section. 500 1451 107 WARNING - As a result the total cross section 500 1451 108 MUST NOT be interpolated to define the 500 1451 109 total between tabulated energies. The 500 1451 110 ONLY consist way to define the total 500 1451 111 between tabulated energies is to 500 1451 112 interpolate all of the partials and 500 1451 113 add them up. 500 1451 114 ================================================================= 500 1451 115 References 500 1451 116 ================================================================= 500 1451 117 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 500 1451 118 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 500 1451 119 graphs of photon interaction cross sections from 10 eV to 100 500 1451 120 GeV derived from the LLNL Evaluated Photon data library (EPDL), 500 1451 121 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 500 1451 122 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 500 1451 123 500 1451 124 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 500 1451 125 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 500 1451 126 Rev. 5, Lawrence Livermore National Laboratory (1997) 500 1451 127 500 1451 128 These are the primary references to the contents of this library 500 1451 129 and they contain a complete list of references to the sources 500 1451 130 of data used in this library, methods of evaluation, accuracy 500 1451 131 of the data, etc. 500 1451 132 ================================================================= 500 1451 133 History 500 1451 134 ================================================================= 500 1451 135 Mod. 1 - October, 1989 - Initial release. 500 1451 136 Mod. 2 - August, 1990 - Updated photoionization total and 500 1451 137 subshell cross sections. 500 1451 138 Mod. 3 - July, 1997 - Complete re-evaluation. 500 1451 139 ================================================================= 500 1451 140 1 451 156 1 500 1451 141 23 501 395 1 500 1451 142 23 502 205 1 500 1451 143 23 504 40 1 500 1451 144 23 515 31 1 500 1451 145 23 516 45 1 500 1451 146 23 517 34 1 500 1451 147 23 522 120 1 500 1451 148 23 534 30 1 500 1451 149 23 535 40 1 500 1451 150 23 536 40 1 500 1451 151 23 537 39 1 500 1451 152 27 502 47 1 500 1451 153 27 504 48 1 500 1451 154 27 505 98 1 500 1451 155 27 506 111 1 500 1451 156 0.000000+0 0.000000+0 0 0 0 0 500 1 099999 0.000000+0 0.000000+0 0 0 0 0 500 0 0 0 5.000000+3 1.071710+1 0 0 0 0 50023501 1 0.000000+0 0.000000+0 0 0 1 1176 50023501 2 1176 5 50023501 3 1.000000+0 7.715091-4 1.060347+0 9.833133-4 1.199234+0 1.646267-3 50023501 4 1.258900+0 2.026074-3 1.356312+0 2.786398-3 1.533965+0 4.776939-3 50023501 5 1.584900+0 5.533877-3 1.682315+0 7.239022-3 1.789103+0 9.601090-3 50023501 6 1.898026+0 1.265808-2 1.995300+0 1.608131-2 2.000247+0 1.627316-2 50023501 7 2.141909+0 2.269503-2 2.230510+0 2.780129-2 2.313573+0 3.352140-2 50023501 8 2.391446+0 3.988285-2 2.464451+0 4.688972-2 2.511900+0 5.209911-2 50023501 9 2.532893+0 5.455037-2 2.597057+0 6.287032-2 2.657212+0 7.187431-2 50023501 10 2.721439+0 8.297591-2 2.766476+0 9.179904-2 2.816042+0 1.027746-1 50023501 11 2.862510+0 1.144095-1 2.906073+0 1.267174-1 2.946914+0 1.397017-1 50023501 12 2.985336+0 1.534654-1 3.031982+0 1.724384-1 3.054750+0 1.827531-1 50023501 13 3.086298+0 1.985558-1 3.127472+0 2.221191-1 3.162300+0 2.451517-1 50023501 14 3.169598+0 2.502383-1 3.193969+0 2.689658-1 3.225969+0 2.970162-1 50023501 15 3.258316+0 3.301634-1 3.277142+0 3.523115-1 3.299855+0 3.825720-1 50023501 16 3.326849+0 4.247294-1 3.355934+0 4.800347-1 3.381383+0 5.401295-1 50023501 17 3.403651+0 6.054646-1 3.423135+0 6.764481-1 3.442041+0 7.630257-1 50023501 18 3.455102+0 8.374124-1 3.468155+0 9.290213-1 3.479577+0 1.029639+0 50023501 19 3.489869+0 1.144329+0 3.498315+0 1.262774+0 3.505966+0 1.396124+0 50023501 20 3.512661+0 1.539416+0 3.518520+0 1.690373+0 3.523646+0 1.846039+0 50023501 21 3.528131+0 2.003211+0 3.533379+0 2.215452+0 3.538923+0 2.476942+0 50023501 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